11L 3s: Difference between revisions

Fredg999 category edits (talk | contribs)
BudjarnLambeth (talk | contribs)
m Reordered subheadings
Line 8: Line 8:
| Pattern = LLLLsLLLLsLLLs
| Pattern = LLLLsLLLLsLLLs
}}
}}
The '''11L 3s''' [[MOS scale]] was named the "Ketradektriatoh scale" by [[Osmiorisbendi‎]].
The '''11L 3s''' [[MOS scale]] was named the "Ketradektriatoh scale" by [[Osmiorisbendi‎]]


This is a type of scale which denotes the use of a scale placed between [[11edo]] and [[14edo]], employing a ratio generator between 41/32 ~ 9/7 ([[25edo]] being the middle size of the Ketradektriatoh spectrum, in the 2:1 relation), resulting in a variant of tetradecatonic scale which conforms by this scheme: LLLLsLLLLsLLLs.
This is a type of scale which denotes the use of a scale placed between [[11edo]] and [[14edo]], employing a ratio generator between 41/32 ~ 9/7 ([[25edo]] being the middle size of the Ketradektriatoh spectrum, in the 2:1 relation), resulting in a variant of tetradecatonic scale which conforms by this scheme: LLLLsLLLLsLLLs.
== Edos that contains this scale ==
'''2 2 2 1 2 2 2 2 1 2 2 2 2 1: [[25edo|25]] (Middle range)'''
'''3 3 3 1 3 3 3 3 1 3 3 3 3 1: [[36edo|36]] (Lufsur range)'''
'''3 3 3 2 3 3 3 3 2 3 3 3 3 2: [[39edo|39]] (Fuslur range)'''
4 4 4 1 4 4 4 4 1 4 4 4 4 1: [[47edo|47]]
4 4 4 2 4 4 4 4 2 4 4 4 4 2: [[50edo|50]]
4 4 4 3 4 4 4 4 3 4 4 4 4 3: [[53edo|53]]
5 5 5 1 5 5 5 5 1 5 5 5 5 1: [[58edo|58]]
'''5 5 5 2 5 5 5 5 2 5 5 5 5 2: [[61edo|61]] Split-φ'''
'''5 5 5 3 5 5 5 5 3 5 5 5 5 3: [[64edo|64]]''' '''φ'''
5 5 5 4 5 5 5 5 4 5 5 5 5 4: [[67edo|67]]
6 6 6 1 6 6 6 6 1 6 6 6 6 1: [[69edo|69]]
6 6 6 5 6 6 6 6 5 6 6 6 6 5: [[81edo|81]]
7 7 7 1 7 7 7 7 1 7 7 7 7 1: [[80edo|80]]
7 7 7 2 7 7 7 7 2 7 7 7 7 2: [[83edo|83]]
7 7 7 3 7 7 7 7 3 7 7 7 7 3: [[86edo|86]]
7 7 7 4 7 7 7 7 4 7 7 7 7 4: [[89edo|89]]
7 7 7 5 7 7 7 7 5 7 7 7 7 5: [[92edo|92]]
7 7 7 6 7 7 7 7 6 7 7 7 7 6: [[95edo|95]]
8 8 8 1 8 8 8 8 1 8 8 8 8 1: [[91edo|91]]
'''8 8 8 3 8 8 8 8 3 8 8 8 8 3: [[97edo|97]] Split-φ'''
'''8 8 8 5 8 8 8 8 5 8 8 8 8 5: [[103edo|103]]''' '''φ'''
8 8 8 7 8 8 8 8 7 8 8 8 8 7: [[109edo|109]]
9 9 9 1 9 9 9 9 1 9 9 9 9 1: [[102edo|102]]
9 9 9 2 9 9 9 9 2 9 9 9 9 2: [[105edo|105]]
9 9 9 4 9 9 9 9 4 9 9 9 9 4: [[111edo|111]]
9 9 9 5 9 9 9 9 5 9 9 9 9 5: [[114edo|114]]
9 9 9 7 9 9 9 9 7 9 9 9 9 7: [[120edo|120]]
9 9 9 8 9 9 9 9 8 9 9 9 9 8: [[123edo|123]]
10 10 10 1 10 10 10 10 1 10 10 10 10 1:[[113edo|113]]
10 10 10 3 10 10 10 10 3 10 10 10 10 3: [[119edo|119]]
10 10 10 7 10 10 10 10 7 10 10 10 10 7: [[131edo|131]]
10 10 10 9 10 10 10 10 9 10 10 10 10 9: [[137edo|137]]
11 11 11 '''<span style="color: #006209;">1</span>''' 11 11 11 11 '''<span style="color: #006209;">1</span>''' 11 11 11 11 '''<span style="color: #006209;">1</span>''': [[124edo|124]]
11 11 11 2 11 11 11 11 2 11 11 11 11 2: [[127edo|127]]
11 11 11 3 11 11 11 11 3 11 11 11 11 3: [[130edo|130]]
11 11 11 4 11 11 11 11 4 11 11 11 11 4: [[133edo|133]]
11 11 11 5 11 11 11 11 5 11 11 11 11 5: [[136edo|136]]
11 11 11 6 11 11 11 11 6 11 11 11 11 6: [[139edo|139]]
11 11 11 7 11 11 11 11 7 11 11 11 11 7: [[142edo|142]]
11 11 11 8 11 11 11 11 8 11 11 11 11 8: [[145edo|145]]
11 11 11 9 11 11 11 11 9 11 11 11 11 9 :[[148edo|148]]
11 11 11 10 11 11 11 11 10 11 11 11 11 10: [[151edo|151]]
12 12 12 1 12 12 12 12 1 12 12 12 12 1: [[135edo|135]]
12 12 12 5 12 12 12 12 5 12 12 12 12 5: [[147edo|147]]
12 12 12 7 12 12 12 12 7 12 12 12 12 7: [[153edo|153]]
12 12 12 11 12 12 12 12 11 12 12 12 12 11: [[165edo|165]]
13 13 13 1 13 13 13 13 1 13 13 13 13 1: [[146edo|146]]
13 13 13 2 13 13 13 13 2 13 13 13 13 2: [[149edo|149]]
13 13 13 3 13 13 13 13 3 13 13 13 13 3: [[152edo|152]]
13 13 13 4 13 13 13 13 4 13 13 13 13 4: [[155edo|155]]
'''13 13 13 5 13 13 13 13 5 13 13 13 13 5: [[158edo|158]] Split-φ'''
13 13 13 6 13 13 13 13 6 13 13 13 13 6: [[161edo|161]]
13 13 13 7 13 13 13 13 7 13 13 13 13 7: [[164edo|164]]
'''13 13 13 8 13 13 13 13 8 13 13 13 13 8: [[167edo|167]]''' '''φ'''
13 13 13 9 13 13 13 13 9 13 13 13 13 9: [[170edo|170]]
13 13 13 10 13 13 13 13 10 13 13 13 13 10: [[173edo|173]]
13 13 13 11 13 13 13 13 11 13 13 13 13 11: [[176edo|176]]
13 13 13 12 13 13 13 13 12 13 13 13 13 12: [[179edo|179]]
14 14 14 1 14 14 14 14 1 14 14 14 14 1: [[157edo|157]]
14 14 14 3 14 14 14 14 3 14 14 14 14 3: [[163edo|163]]
14 14 14 5 14 14 14 14 5 14 14 14 14 5: [[169edo|169]]
14 14 14 9 14 14 14 14 9 14 14 14 14 9: [[181edo|181]]
14 14 14 11 14 14 14 14 11 14 14 14 14 11: [[187edo|187]]
14 14 14 13 14 14 14 14 13 14 14 14 14 13: [[193edo|193]]
15 15 15 1 15 15 15 15 1 15 15 15 15 1: [[168edo|168]]
15 15 15 2 15 15 15 15 2 15 15 15 15 2: [[171edo|171]]
15 15 15 4 15 15 15 15 4 15 15 15 15 4: [[177edo|177]]
15 15 15 7 15 15 15 15 7 15 15 15 15 7: [[186edo|186]]
15 15 15 8 15 15 15 15 8 15 15 15 15 8: [[189edo|189]]
15 15 15 11 15 15 15 15 11 15 15 15 15 11: [[198edo|198]]
15 15 15 13 15 15 15 15 13 15 15 15 15 13: [[204edo|204]]
15 15 15 14 15 15 15 15 14 15 15 15 15 14: [[207edo|207]]
16 16 16 1 16 16 16 16 1 16 16 16 16 1: [[179edo|179]]
16 16 16 3 16 16 16 16 3 16 16 16 16 3: [[185edo|185]]
16 16 16 5 16 16 16 16 5 16 16 16 16 5: [[191edo|191]]
16 16 16 7 16 16 16 16 7 16 16 16 16 7: [[197edo|197]]
16 16 16 9 16 16 16 16 9 16 16 16 16 9: [[203edo|203]]
16 16 16 11 16 16 16 16 11 16 16 16 16 11: [[209edo|209]]
16 16 16 13 16 16 16 16 13 16 16 16 16 13: [[215edo|215]]
16 16 16 15 16 16 16 16 15 16 16 16 16 15: [[221edo|221]]
17 17 17 1 17 17 17 17 1 17 17 17 17 1: [[190edo|190]]
17 17 17 2 17 17 17 17 2 17 17 17 17 2: [[193edo|193]]
17 17 17 3 17 17 17 17 3 17 17 17 17 3: [[196edo|196]]
17 17 17 4 17 17 17 17 4 17 17 17 17 4: [[199edo|199]]
'''17 17 17 5 17 17 17 17 5 17 17 17 17 5: [[202edo|202]] (Top limit for Lufsur range)'''
'''17 17 17 6 17 17 17 17 6 17 17 17 17 6: [[205edo|205]]'''
'''17 17 17 7 17 17 17 17 7 17 17 17 17 7: [[208edo|208]]'''
'''17 17 17 8 17 17 17 17 8 17 17 17 17 8: [[211edo|211]]'''
'''17 17 17 9 17 17 17 17 9 17 17 17 17 9: [[214edo|214]]'''
'''17 17 17 10 17 17 17 17 10 17 17 17 17 10: [[217edo|217]]'''
'''17 17 17 11 17 17 17 17 11 17 17 17 17 11: [[220edo|220]]'''
'''17 17 17 12 17 17 17 17 12 17 17 17 17 12: [[223edo|223]] (Top limit for Fuslur range)'''
17 17 17 13 17 17 17 17 13 17 17 17 17 13: [[226edo|226]]
17 17 17 14 17 17 17 17 14 17 17 17 17 14: [[229edo|229]]
17 17 17 15 17 17 17 17 15 17 17 17 17 15: [[232edo|232]]
17 17 17 16 17 17 17 17 16 17 17 17 17 16: [[235edo|235]]


== Scale tree ==
== Scale tree ==
Line 559: Line 366:
| style="text-align:center;" |  
| style="text-align:center;" |  
|}
|}
== Edos that contains this scale ==
'''2 2 2 1 2 2 2 2 1 2 2 2 2 1: [[25edo|25]] (Middle range)'''
'''3 3 3 1 3 3 3 3 1 3 3 3 3 1: [[36edo|36]] (Lufsur range)'''
'''3 3 3 2 3 3 3 3 2 3 3 3 3 2: [[39edo|39]] (Fuslur range)'''
4 4 4 1 4 4 4 4 1 4 4 4 4 1: [[47edo|47]]
4 4 4 2 4 4 4 4 2 4 4 4 4 2: [[50edo|50]]
4 4 4 3 4 4 4 4 3 4 4 4 4 3: [[53edo|53]]
5 5 5 1 5 5 5 5 1 5 5 5 5 1: [[58edo|58]]
'''5 5 5 2 5 5 5 5 2 5 5 5 5 2: [[61edo|61]] Split-φ'''
'''5 5 5 3 5 5 5 5 3 5 5 5 5 3: [[64edo|64]]''' '''φ'''
5 5 5 4 5 5 5 5 4 5 5 5 5 4: [[67edo|67]]
6 6 6 1 6 6 6 6 1 6 6 6 6 1: [[69edo|69]]
6 6 6 5 6 6 6 6 5 6 6 6 6 5: [[81edo|81]]
7 7 7 1 7 7 7 7 1 7 7 7 7 1: [[80edo|80]]
7 7 7 2 7 7 7 7 2 7 7 7 7 2: [[83edo|83]]
7 7 7 3 7 7 7 7 3 7 7 7 7 3: [[86edo|86]]
7 7 7 4 7 7 7 7 4 7 7 7 7 4: [[89edo|89]]
7 7 7 5 7 7 7 7 5 7 7 7 7 5: [[92edo|92]]
7 7 7 6 7 7 7 7 6 7 7 7 7 6: [[95edo|95]]
8 8 8 1 8 8 8 8 1 8 8 8 8 1: [[91edo|91]]
'''8 8 8 3 8 8 8 8 3 8 8 8 8 3: [[97edo|97]] Split-φ'''
'''8 8 8 5 8 8 8 8 5 8 8 8 8 5: [[103edo|103]]''' '''φ'''
8 8 8 7 8 8 8 8 7 8 8 8 8 7: [[109edo|109]]
9 9 9 1 9 9 9 9 1 9 9 9 9 1: [[102edo|102]]
9 9 9 2 9 9 9 9 2 9 9 9 9 2: [[105edo|105]]
9 9 9 4 9 9 9 9 4 9 9 9 9 4: [[111edo|111]]
9 9 9 5 9 9 9 9 5 9 9 9 9 5: [[114edo|114]]
9 9 9 7 9 9 9 9 7 9 9 9 9 7: [[120edo|120]]
9 9 9 8 9 9 9 9 8 9 9 9 9 8: [[123edo|123]]
10 10 10 1 10 10 10 10 1 10 10 10 10 1:[[113edo|113]]
10 10 10 3 10 10 10 10 3 10 10 10 10 3: [[119edo|119]]
10 10 10 7 10 10 10 10 7 10 10 10 10 7: [[131edo|131]]
10 10 10 9 10 10 10 10 9 10 10 10 10 9: [[137edo|137]]
11 11 11 '''<span style="color: #006209;">1</span>''' 11 11 11 11 '''<span style="color: #006209;">1</span>''' 11 11 11 11 '''<span style="color: #006209;">1</span>''': [[124edo|124]]
11 11 11 2 11 11 11 11 2 11 11 11 11 2: [[127edo|127]]
11 11 11 3 11 11 11 11 3 11 11 11 11 3: [[130edo|130]]
11 11 11 4 11 11 11 11 4 11 11 11 11 4: [[133edo|133]]
11 11 11 5 11 11 11 11 5 11 11 11 11 5: [[136edo|136]]
11 11 11 6 11 11 11 11 6 11 11 11 11 6: [[139edo|139]]
11 11 11 7 11 11 11 11 7 11 11 11 11 7: [[142edo|142]]
11 11 11 8 11 11 11 11 8 11 11 11 11 8: [[145edo|145]]
11 11 11 9 11 11 11 11 9 11 11 11 11 9 :[[148edo|148]]
11 11 11 10 11 11 11 11 10 11 11 11 11 10: [[151edo|151]]
12 12 12 1 12 12 12 12 1 12 12 12 12 1: [[135edo|135]]
12 12 12 5 12 12 12 12 5 12 12 12 12 5: [[147edo|147]]
12 12 12 7 12 12 12 12 7 12 12 12 12 7: [[153edo|153]]
12 12 12 11 12 12 12 12 11 12 12 12 12 11: [[165edo|165]]
13 13 13 1 13 13 13 13 1 13 13 13 13 1: [[146edo|146]]
13 13 13 2 13 13 13 13 2 13 13 13 13 2: [[149edo|149]]
13 13 13 3 13 13 13 13 3 13 13 13 13 3: [[152edo|152]]
13 13 13 4 13 13 13 13 4 13 13 13 13 4: [[155edo|155]]
'''13 13 13 5 13 13 13 13 5 13 13 13 13 5: [[158edo|158]] Split-φ'''
13 13 13 6 13 13 13 13 6 13 13 13 13 6: [[161edo|161]]
13 13 13 7 13 13 13 13 7 13 13 13 13 7: [[164edo|164]]
'''13 13 13 8 13 13 13 13 8 13 13 13 13 8: [[167edo|167]]''' '''φ'''
13 13 13 9 13 13 13 13 9 13 13 13 13 9: [[170edo|170]]
13 13 13 10 13 13 13 13 10 13 13 13 13 10: [[173edo|173]]
13 13 13 11 13 13 13 13 11 13 13 13 13 11: [[176edo|176]]
13 13 13 12 13 13 13 13 12 13 13 13 13 12: [[179edo|179]]
14 14 14 1 14 14 14 14 1 14 14 14 14 1: [[157edo|157]]
14 14 14 3 14 14 14 14 3 14 14 14 14 3: [[163edo|163]]
14 14 14 5 14 14 14 14 5 14 14 14 14 5: [[169edo|169]]
14 14 14 9 14 14 14 14 9 14 14 14 14 9: [[181edo|181]]
14 14 14 11 14 14 14 14 11 14 14 14 14 11: [[187edo|187]]
14 14 14 13 14 14 14 14 13 14 14 14 14 13: [[193edo|193]]
15 15 15 1 15 15 15 15 1 15 15 15 15 1: [[168edo|168]]
15 15 15 2 15 15 15 15 2 15 15 15 15 2: [[171edo|171]]
15 15 15 4 15 15 15 15 4 15 15 15 15 4: [[177edo|177]]
15 15 15 7 15 15 15 15 7 15 15 15 15 7: [[186edo|186]]
15 15 15 8 15 15 15 15 8 15 15 15 15 8: [[189edo|189]]
15 15 15 11 15 15 15 15 11 15 15 15 15 11: [[198edo|198]]
15 15 15 13 15 15 15 15 13 15 15 15 15 13: [[204edo|204]]
15 15 15 14 15 15 15 15 14 15 15 15 15 14: [[207edo|207]]
16 16 16 1 16 16 16 16 1 16 16 16 16 1: [[179edo|179]]
16 16 16 3 16 16 16 16 3 16 16 16 16 3: [[185edo|185]]
16 16 16 5 16 16 16 16 5 16 16 16 16 5: [[191edo|191]]
16 16 16 7 16 16 16 16 7 16 16 16 16 7: [[197edo|197]]
16 16 16 9 16 16 16 16 9 16 16 16 16 9: [[203edo|203]]
16 16 16 11 16 16 16 16 11 16 16 16 16 11: [[209edo|209]]
16 16 16 13 16 16 16 16 13 16 16 16 16 13: [[215edo|215]]
16 16 16 15 16 16 16 16 15 16 16 16 16 15: [[221edo|221]]
17 17 17 1 17 17 17 17 1 17 17 17 17 1: [[190edo|190]]
17 17 17 2 17 17 17 17 2 17 17 17 17 2: [[193edo|193]]
17 17 17 3 17 17 17 17 3 17 17 17 17 3: [[196edo|196]]
17 17 17 4 17 17 17 17 4 17 17 17 17 4: [[199edo|199]]
'''17 17 17 5 17 17 17 17 5 17 17 17 17 5: [[202edo|202]] (Top limit for Lufsur range)'''
'''17 17 17 6 17 17 17 17 6 17 17 17 17 6: [[205edo|205]]'''
'''17 17 17 7 17 17 17 17 7 17 17 17 17 7: [[208edo|208]]'''
'''17 17 17 8 17 17 17 17 8 17 17 17 17 8: [[211edo|211]]'''
'''17 17 17 9 17 17 17 17 9 17 17 17 17 9: [[214edo|214]]'''
'''17 17 17 10 17 17 17 17 10 17 17 17 17 10: [[217edo|217]]'''
'''17 17 17 11 17 17 17 17 11 17 17 17 17 11: [[220edo|220]]'''
'''17 17 17 12 17 17 17 17 12 17 17 17 17 12: [[223edo|223]] (Top limit for Fuslur range)'''
17 17 17 13 17 17 17 17 13 17 17 17 17 13: [[226edo|226]]
17 17 17 14 17 17 17 17 14 17 17 17 17 14: [[229edo|229]]
17 17 17 15 17 17 17 17 15 17 17 17 17 15: [[232edo|232]]
17 17 17 16 17 17 17 17 16 17 17 17 17 16: [[235edo|235]]


{{todo|cleanup}}
{{todo|cleanup}}


[[Category:14-tone scales]]
[[Category:14-tone scales]]